What is the Greatest Common Factor of 73088 and 73106?

Greatest common factor (GCF) of 73088 and 73106 is 2.

GCF(73088,73106) = 2

We will now calculate the prime factors of 73088 and 73106, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 73088 and 73106.

How to find the GCF of 73088 and 73106?

We will first find the prime factorization of 73088 and 73106. After we will calculate the factors of 73088 and 73106 and find the biggest common factor number .

Step-1: Prime Factorization of 73088

Prime factors of 73088 are 2, 571. Prime factorization of 73088 in exponential form is:

73088 = 2⁷ × 571¹

Step-2: Prime Factorization of 73106

Prime factors of 73106 are 2, 11, 3323. Prime factorization of 73106 in exponential form is:

73106 = 2¹ × 11¹ × 3323¹

Step-3: Factors of 73088

List of positive integer factors of 73088 that divides 73088 without a remainder.

1, 2, 4, 8, 16, 32, 64, 128, 571, 1142, 2284, 4568, 9136, 18272, 36544

Step-4: Factors of 73106

List of positive integer factors of 73106 that divides 73088 without a remainder.

1, 2, 11, 22, 3323, 6646, 36553

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 73088 and 73106. The biggest common factor number is the GCF number.
So the greatest common factor 73088 and 73106 is 2.

Also check out the Least Common Multiple of 73088 and 73106